Internal-Coordinate Density Modelling of Protein Structure: Covariance Matters

Fuente: arXiv
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Autori principali: Arts, Marloes, Frellsen, Jes, Boomsma, Wouter
Natura: Preprint
Pubblicazione: 2023
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author Arts, Marloes
Frellsen, Jes
Boomsma, Wouter
author_facet Arts, Marloes
Frellsen, Jes
Boomsma, Wouter
contents After the recent ground-breaking advances in protein structure prediction, one of the remaining challenges in protein machine learning is to reliably predict distributions of structural states. Parametric models of fluctuations are difficult to fit due to complex covariance structures between degrees of freedom in the protein chain, often causing models to either violate local or global structural constraints. In this paper, we present a new strategy for modelling protein densities in internal coordinates, which uses constraints in 3D space to induce covariance structure between the internal degrees of freedom. We illustrate the potential of the procedure by constructing a variational autoencoder with full covariance output induced by the constraints implied by the conditional mean in 3D, and demonstrate that our approach makes it possible to scale density models of internal coordinates to full protein backbones in two settings: 1) a unimodal setting for proteins exhibiting small fluctuations and limited amounts of available data, and 2) a multimodal setting for larger conformational changes in a high data regime.
format Preprint
id arxiv_https___arxiv_org_abs_2302_13711
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Internal-Coordinate Density Modelling of Protein Structure: Covariance Matters
Arts, Marloes
Frellsen, Jes
Boomsma, Wouter
Machine Learning
Biomolecules
After the recent ground-breaking advances in protein structure prediction, one of the remaining challenges in protein machine learning is to reliably predict distributions of structural states. Parametric models of fluctuations are difficult to fit due to complex covariance structures between degrees of freedom in the protein chain, often causing models to either violate local or global structural constraints. In this paper, we present a new strategy for modelling protein densities in internal coordinates, which uses constraints in 3D space to induce covariance structure between the internal degrees of freedom. We illustrate the potential of the procedure by constructing a variational autoencoder with full covariance output induced by the constraints implied by the conditional mean in 3D, and demonstrate that our approach makes it possible to scale density models of internal coordinates to full protein backbones in two settings: 1) a unimodal setting for proteins exhibiting small fluctuations and limited amounts of available data, and 2) a multimodal setting for larger conformational changes in a high data regime.
title Internal-Coordinate Density Modelling of Protein Structure: Covariance Matters
topic Machine Learning
Biomolecules
url https://arxiv.org/abs/2302.13711